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Report number arXiv:0711.2644 ; CERN-PH-TH-2007-220 ; UB-ECM-PF-07-32 ; TOHO-CP-0786 ; CERN-PH-TH-2007-220 ; UB-ECM-PF-07-32 ; TOHO-CP-0786
Title Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
Author(s) Alvarez, Pedro D. (Chile U., Santiago) ; Gomis, Joaquim (Barcelona U., ECM ; CERN) ; Kamimura, Kiyoshi (Toho U.) ; Plyushchay, Mikhail S. (Chile U., Santiago)
Affiliation (Univ. Santiago de Chile, Santiago 2, Chile) ; (Univ. Barcelona, Spain) ; (Toho Univ. Funabashi, Japan)
Publication 2008
Imprint 19 Nov 2007
Number of pages 12
In: Phys. Lett. B 659 (2008) 906-912
DOI 10.1016/j.physletb.2007.12.016
Subject category Particle Physics - Theory
Abstract We investigate the planar anisotropic harmonic oscillator with explicit rotational symmetry as a particle model with non-commutative coordinates. It includes the exotic Newton-Hooke particle and the non-commutative Landau problem as special, isotropic and maximally anisotropic, cases. The system is described by the same (2+1)-dimensional exotic Newton-Hooke symmetry as in the isotropic case, and develops three different phases depending on the values of the two central charges. The special cases of the exotic Newton-Hooke particle and non-commutative Landau problem are shown to be characterized by additional, so(3) or so(2,1) Lie symmetry, which reflects their peculiar spectral properties.
Copyright/License Elsevier B.V. (License: CC-BY-3.0)

Corresponding record in: Inspire
 記錄創建於2007-11-19,最後更新在2023-03-15


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